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Word symmetric functions and the Redfield-Pólya theorem
We give noncommutative versions of the Redfield-Polya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.
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Word Bell Polynomials
Partial multivariate Bell polynomials have been de ned by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities etc. Many of the formulæExpand
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Bell polynomials in combinatorial Hopf algebras
Partial multivariate Bell polynomials have been defined by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities etc. Many of the formulæExpand
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Algèbres de Hopf combinatoires sur les partitions d'ensembles et leurs généralisations : applications à l'énumération et à la physique théorique
Cette these s’inscrit dans le domaine de la combinatoire algebrique et enumerative. Elle est consacree a l’etude des problemes d’enumeration en utilisant des algebres de Hopf combinatoires, enExpand
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On recursively defined combinatorial classes and labelled trees
TLDR
We define and prove isomorphisms between three combinatorial classes involving labeled trees. Expand
Word symmetric functions and the Redfield-P\'olya
We give noncommutative versions of the Redfield-P\'olya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.
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Redfield-Pólya theorem in WSym
We give noncommutative versions of the Redfield-Polya theorem in WSym , the algebra of word symmetric functions, and in other related combinatorial Hopf algebras. Resume. Nous donnons des versionsExpand
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A combinatorial Hopf algebra for the boson normal ordering problem
In the aim to understand the generalization of Stirling numbers occurring in the bosonic normal ordering problem, several combinatorial models have been proposed. In particular, Blasiak \emph{et al.}Expand
r-Bell polynomials in combinatorial Hopf algebras
TLDR
We introduce partial $r$-Bell polynomials in three combinatorial Hopf algebras and prove a factorization formula for the generating functions. Expand
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Redfield-Pólya theorem in $\mathrm{WSym}$
We give noncommutative versions of the Redfield-Polya theorem in $\mathrm{WSym}$, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.